A diatomic ideal gas has initial pressure pi and initial volume V1. The gas then undergoes a sorios of three transformations: a) Sketch this cycle of transformations on a p-V diagram. • First, a bunsen burner causos the gas to expand, at constant prossure, to volume 7V. b) Find the temperature at all three "corners" of the cycle. Expross all three temperaturos in terms of pi, Vi, and N. • Next, the volume is held constant while an ice bath lowers the pressure to pi/4. c) Find AE, the change in the internal energy of the gas during transformation (i). Likewise, find AE and AEi. (Express all three answers in terms of pi and Vi.) • Finally, a water bath allows the gas to be compressed along a straight line in the p- V plane, until the prossure and the volume return to their initial values. d) Add up the three changes in internal energy: AE + AEu + AEu. Why do you get zero for the total change in internal energy over the cycle?
A diatomic ideal gas has initial pressure pi and initial volume V1. The gas then undergoes a sorios of three transformations: a) Sketch this cycle of transformations on a p-V diagram. • First, a bunsen burner causos the gas to expand, at constant prossure, to volume 7V. b) Find the temperature at all three "corners" of the cycle. Expross all three temperaturos in terms of pi, Vi, and N. • Next, the volume is held constant while an ice bath lowers the pressure to pi/4. c) Find AE, the change in the internal energy of the gas during transformation (i). Likewise, find AE and AEi. (Express all three answers in terms of pi and Vi.) • Finally, a water bath allows the gas to be compressed along a straight line in the p- V plane, until the prossure and the volume return to their initial values. d) Add up the three changes in internal energy: AE + AEu + AEu. Why do you get zero for the total change in internal energy over the cycle?
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